What is the slope of the line that is perpendicular to the line y=5/2x+2

Question

anonymous · Answer

When two lines are perpendicular, the slope of one is the negative reciprocal of the other.
so If the slope of one line is  $m$ , the slope of the other is  $-\frac{1}{m}$

anonymous · Answer

Would the answer be -5/2

anonymous · Answer

slope of  $y=\frac{5}{2}x+2$  is  $5/2$  so slope of the line that is perpendicular to this line is $$-\frac{1}{\frac{5}{2}}=?$$

anonymous · Answer

the slope will be (-2/5).......... your original slope is (5/2) to find the perpendicular slope you take the reciprocal AND the opposite sign (either + positive or negative -)

anonymous · Answer

to check your answer simply multiply your original slope by your newly found slope and it should equal (-1)
(5/2)*(-2/5)=-1

anonymous · Answer

Thank You